Answer:
[tex]m_S=5.31x10^{-14}gS[/tex]
Explanation:
Hello,
In this case, by knowing that we have 1 billion ( 1,000,000,000) of atoms of sulfur, via the Avogadro's number we can firstly compute the moles:
[tex]n_S=1,000,000,000atoms*\frac{1mol}{6.022x10^{23}atoms}\\\\ n_S=1.66x10^{-15}molS[/tex]
Then, by using the atomic mass of sulfur (32 g/mol), we can finally compute the mass:
[tex]m_S=1.66x10^{-15}molS*\frac{32gS}{1molS}\\ \\m_S=5.31x10^{-14}gS[/tex]
Best regards.